By first rounding both numbers to 1
significant figure, estimate the answer to
12 x 478

Answer:

B Not a Function. They are Coordinates

Answer:

$5.50

Step-by-step explanation:

Add 3.00 plus 2.50.Which is 5.50.

Hence, the 2 decimal places a possible value of the number is 5.25, 5.26, 5.27, 5.28, 5.29, 5.31, 5.32, 5.33, 5.34

What are upper and lower bounds?

The maximum and smallest values that a number may have before it was rounded are known as upper and lower limits. They are also known as accuracy limits. Error intervals can be utilised to write the upper and lower bounds.

Given, A number truncated to 1 d.p. gives 5.3

And, the number originally had 2 decimal places

Then, the number could have been

5.25, 5.26, 5.27, 5.28, 5.29, 5.31, 5.32, 5.33, 5.34

These are the possible value of the number.

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Independent-samples t test statistical test is most appropriate for analyzing the results .

What is Independent-samples t test?

To ascertain whether there is statistical support that the linked population means are statistically substantially different, the Independent Samples t Test compares the means of two independent groups.

                     An example of a parametric test is the Independent Samples t Test. The Independent t Test is another name for this test.

What is the difference between a dependent and independent samples t-test?

If the participants in one sample do not influence the participants in the other, then the two (or more) samples are said to be independent.

                                  Dependent samples are two (or more) samples where the members picked for one sample automatically determine the members chosen for the second sample.

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Answer:

a1=3 ;a2=12 ;a3=27 ;a4=48 ;a10=300

Step-by-step explanation:

an=3n^2

a1=3(1)^2

a1=3

a2=3(2)^2

a2=12

a3=3(3)^2

a3=27

a4=3(4)^2

a4=48

a10=3(10)^2

a10=300

Answer:

12 miles in 15 minutes

Step-by-step explanation:

To find the car's rate in miles per minute, we can divide the rate in miles per hour by the number of minutes per hour. There are 60 minutes in an hour, so the car's rate in miles per minute is 48 miles per hour / 60 minutes per hour = 0.8 miles per minute.

To find the number of miles the car will travel in 15 minutes, we can multiply the rate in miles per minute by the number of minutes. The car will travel 0.8 miles per minute * 15 minutes = 12 miles in 15 minutes.

Using algebra, we conclude that the dollar amount of meals Jerome served this weekend is $1150.

Given: The total amount Jerome earned this weekend is $252.50.

           He earned every weekend = $80.

            He earned 15% of the cost of meals as tips by serving them.

To find: The cost of meals served by Jerome in this weekend.

The total amount, $252.50,  is the sum of the tips amount Jerome earned from serving meals and sum of the amount Jerome earned every weekend. To solve this, we must first translate the conditions of the problem, into an algebraic expression with a variable referring to the unknown quantity. This expression is then converted to an equation to find the value of the unknown quantity.

Let x be the cost of meals that Jerome served this weekend.

The equation for the problem statement becomes

[tex]\$80 + \frac{15}{100} x = \$252.50\\\\[/tex]

Keeping only the x term on the left side of the equation and constant terms on the right side we get

[tex]\frac{15}{100} x = \$252.50 - \$80\\\\\frac{15}{100} x = \$172.50\\\\\\[/tex]

Multiply both the sides of the equation by 100

[tex]\frac{15}{100} x \times 100 = \$172.50 \times 100\\\\15x = \$17250[/tex]

Divide both sides of the equation by 15

[tex]\frac{15x}{15} = \frac{\$17250}{15}\\\\x = \$1150[/tex]

Algebra is a field of mathematics in which letters are substituted for numbers, and an algebraic equation depicts a scale in which what is done on one side of the scale is likewise done on the other side of the scale, with the numbers acting as constants.

An equation is a mathematical statement that two expressions are equal. If it is an algebraic equation, two algebraic expressions has to have the same value  on either side of the equal sign.

A meaningful collection of numbers, variables, and signs (positive or negative) of operations that must make mathematical and logical sense is referred to as an algebraic expression.

Expressions contain any number of algebraic terms. They use signs of operation like addition, subtraction, multiplication, and division and also do not contain an equality sign (=).

Using algebra, we conclude that the dollar amount of meals Jerome served this weekend is $1150.

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Answer:

(- 2, - 4 )

Step-by-step explanation:

- 4x + 4y = - 8 → (1)

4x - 6y = 16 → (2)

adding (1) and (2) term by term will eliminate x

0 - 2y = 8

- 2y = 8 ( divide both sides by - 2 )

y = - 4

substitute y = - 4 into either of the 2 equations and solve for x

substituting into (2)

4x - 6(- 4) = 16

4x + 24 = 16 ( subtract 24 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

solution is (- 2, - 4 )

All the points that will lie on the median through the point (7,4) are given as follows:

The median that passes through the point (7,4) is a linear function that also passes through the midpoint of the vertices (1,4) and (7,-2).

The midpoint of two points is given by the mean of it's coordinates, hence the midpoint of the vertices (1,4) and (7,-2) is calculated as follows:

Then the two points on the line are given as follows:

(4,1) and (7,4).

Given two points, the slope is calculated as the division of the change in y by the change in x, hence:

m = (4 - 1)/(7 - 4)

m = 1.

Hence:

y = x + b

When x = 4, y = 1, hence the intercept b is obtained as follows:

1 = 4 + b

b = -3.

Then the function is given as follows:

y = x - 3.

And the points that lie on the median are all the points for which the x-coordinate is 3 less than the y-coordinate.

The complete problem is given by the image shown at the end of the answer.

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Explanation about number line is discussed below:

Number lines are horizontal straight lines used in mathematics when integers are spaced at equal intervals. A number line may be used to visualise all the numbers in a succession. Both endpoints of this line continue forever.

Number lines aid in the development of a mental arithmetic approach for addition and subtraction. Research has proved the significance of number lines in fostering sound mental number sense and arithmetic techniques. No one disputes the significance of number lines.

Firstly, start from -3 on the number line.

Then, since we are adding 7, we would add 7 spaces to the right.

That should lead us to our answer; 4.

Another way is: 7 + (-3) or 7-3.

They all equal 4.

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The probability of getting a head given that probability of getting a tail is   0. 52 is  0.48.

Probability of getting at least one head is equal to the probability of all events (100 percent, or 1) less the likelihood of receiving all tails .

Therefore the probability of getting a head is ( 1 - 0.52)

= 0.48

A random event's occurrence is the subject of this area of mathematics. The range of the probability is 0 to 1.

The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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(i) 263.9 meters sheet of metal is required.

(ii) 1847.25 liters of water can this tank hold.

(iii) Rupees 27841.45 cost of whitewashing this tank at the rate of rupees 105.5 per 2.

Given that,

A open cylindrical tank of radius 14 meters and height 3 meters is made of sheet metal.

We have to find

(i) The quantity of metal sheet needed.

(ii) How much water this tank is capable of holding.

(iii) How much would it cost to whitewash this tank at a rate of 105.5% per square foot?

We know that,

(i) To find the sheet required of metal is

Curved surface area of cylinder =2πrh

Here,

r is 14 and h is 3

=2π(14)(3)

=84π

=263.9

Therefore, 263.9 meters sheet of metal is required.

(ii)To find how much liters of water can tank hold.

Volume of the cylinder =πr²h

=π(14)²(3)

=588π

=1847.25

Therefore, 1847.25 liters of water can this tank hold.

(iii) To find the cost of whitewashing this tank at the rate of rupees 105.5 per 2.

=263.9×105.5

=27841.45

Therefore, Rupees 27841.45 cost of whitewashing this tank at the rate of rupees 105.5 per 2.

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Answer:

Ellie 69%

Kevin 78%

Therefore Kevin has the redder paint

The student can select 1 bill or more than one bill. The student could make 15 different sum of money.

What is permutation?

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order.

Given that a student has a $50 bill, a $10 bill, a $5 bill, and a $1 bill.

He must select at least one bill.

To find the number of ways where the order does not matter is nCr.

The number of bills is 4.

Case 1:

Assume that he select 1 bill.

The number of ways to select one bill is ₄C₁ = 4!/1!(4-1)! = 4

Case 2:

Assume that he select 2 bill.

The number of ways to select two bill is ₄C₂ = 4!/2!(4-2)! =6

Case 3:

Assume that he select 3 bill.

The number of ways to select two bill is ₄C₃ = 4!/3!(4-3)! =4

Case 4:

Assume that he select 4 bill.

The number of ways to select two bill is ₄C₄ = 4!/4!(4-4)! =1

The total number of ways is 4 + 6 + 4 + 1 = 15

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The probability that at least one graduate out of the five who were picked at random obtains a job in their chosen area within a year of graduation is 93.96%.

Let X represent a random variable which represents the proportion all school graduates who secure employment in their profession of choice within a year of graduation:

With a binomial distribution,

X has a n = 5 and a p value of 0.57.

n = number of trial.

p = probability of success

x = number of success.

A binomial distribution's probability mass function is provided by:

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

The likelihood that at least one gets employment in their field of choice within a year after graduation:

P(X ≥ 1) = 1 - P(X < 1)

P(X ≥ 1) = 1 - P(X = 0)

P(X ≥ 1) = 1 - ⁵C₀ . (0.57)⁰ . (0.43)⁹⁻⁰

P(X ≥ 1) = 1 - 0.603

P(X ≥ 1) = 0.9396

P(X ≥ 1) = 93.96%

Thus, the probability that at least one graduate out of the five who were picked at random obtains a job in their chosen area within a year of graduation is 93.96%.

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The complete question is-

A study conducted at a certain college shows that 57% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Speed of Santa 's sleigh in air (X) is 6 units and the speed of the wind (Y) is 1 unit.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.

Main body:

Let 'y' stand for the speed of the wind and 'x' stand for the speed of Santa. We will use the general equation (distance)=(rate)(time) to write two equations from the given information:

With the wind:

35=(x+y)(5)                -------(1)

Against the wind:

35=(x-y)(7)                 --------(2)

using equation 1  ,we have

x+y = 7

using equation 2  ,we have

x- y = 5

now solving both equations , we get

x = 6 and y = 1

Hence , speed of Santa 's sleigh in air (X) is 6 units and the speed of the wind (Y) is 1 unit.

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The total displacement in km and vector form in the form of i and j is 35.8 a[x] km + 0 a[y] km.

According to the question,

We have the following information:

A cyclist rode his bike for 169 min at an average velocity of 3. 53 m/s on a bearing of 450.

Now, we know that the following formula is used to find the velocity:

Velocity = displacement/time

(We will convert time from minutes into seconds.)

Displacement = 3.53*(169*60)

Displacement = 35794.2 m

Now, the displacement in km will be 35.8 km approximately.

Now, let's take that the bike is moving along the positive x-axis. So, it would be written in the following expression:

Displacement = 35.8 a[x] km + 0 a[y] km

Hence, the total displacement in km and vector form in the form of i and j is 35.8 a[x] km + 0 a[y] km.

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Answer:

y≤-3

Step-by-step explanation:

the parabola is negative and the maximum is -3.

Answer:

-x2 y

Step-by-step explanation:

The value of that maximize the profit, und determine the corresponding price and total profit for the level of production is $52,500

Given,

Suppose that the demand equation for a monopolist is p=100−.02x and the cost function is C(x)=20x+10,000. Find the value of x that maximizes the profit and determine the corresponding price and total profit for this level of production.

Here we need to find the value of that maximize the profit.

As per the Monopolist maximizes profit by setting marginal costs (MC) equal to marginal revenue (MR).

Here the Marginal revenue is the first partial derivative of Total revenue (TR) function.

And the total revenue is the quantity (X) times price (P):

TR = P⋅X

=> (100−0.01X) X

=> 100X−0.02X

Then we get get marginal cost, take the partial derivative of the cost function with respect to x:

=> MC=∂c(X)/∂X:50

=> MR=MC/100−0.02X=50/100−50

=> 0.02X

=> 2500units

Then the price of X, plug in the value of x in the inverse demand function and solve for price:

=> P=100−0.01(2500)=$75

And the profit is the difference between Total revenue and Total costs:

=> ∏=TR−TC/TR = P⋅X

=> $75 × 2500 = $187,500

Finally, the total costs, plug in the value of x in the total cost function:

=> TC = 50(2500)+10,000

=> $135,000

=> ∏ = $187,500−$135,000

=> $52,500

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Answer:

Adult:19

Child:18

Step-by-step explanation:

Adults: x

Children:y

Equation 1: 3x+4y=129

Equation: 2x+3y=92

Let's now graph our equations on the desmos graphing calculator!!!

Look for the points that meet each other on the graph which is (19,18)

So $19 for an adult and $18 for children

Answer:

x^2+15x

Step-by-step explanation:

when doing word problems like these, keywords are "sum" and "square" and "times". They help discern the expression.

hope this helps!!! :3

Answer:

6x + 1

Step-by-step explanation:

When you are finding the perimeter of any shape, you will combine the measurements of each side together. Note any variables when combining. They must have the same amount of the same variables to be combined:

[tex]P = (2x + 1) + (3x) + (x)\\P = (2x + 3x + x) + 1[/tex]

Combine like terms. Add 3x, 2x and x together:

[tex]P = (2x + 3x + x) + 1\\P = (6x) + 1\\[/tex]

The perimeter of the triangle is 6x + 1.

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Answer: x= -1  y= -5

Step-by-step explanation: Multiply by 2 to eliminate the x

4x - 10y = 46

-4x + 5y  = -11

-5y = 35

 y= -5

Put -5 back in the equation for the letter y, and you will get x = -1

The equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair is A. 35.5w + 136.45 = 455.95; w = 9

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, a new gaming chair costs $455.95. You have already saved $136.45 and earn $35.50 each week babysitting.

Let the number of weeks be w.

This will be represented as:

136.45 + 35.50w = 455.95

Collect the like terms

35.50w = 455.95 - 136.45

35.50w = 319.50

Divide

w = 319.50 / 35.50

w = 9

The number of weeks is 9.

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The answer is A!

Step-by-step explanation:

It's right can I get brainliest?

Fatima needs to carry 13 pails to fill the pool to a depth of 18 cm.

Cube and cuboid are three-dimensional shapes that consist of six faces, eight vertices and twelve edges. The primary difference between them is a cube has all its sides equal whereas the length, width and height of a cuboid are different. Both shapes look almost the same but have different properties. The area and volume of cube, cuboid and also cylinder differ from each other.

Volume of a circular pool to a depth of 18cm = Area of circular pool x depth

π[tex]r^{2}[/tex]h

where r = radius of circular pool which is 120/2 = 60cm

h = depth which is 18cm, [tex]\pi[/tex]( constant) = 3.14

Volume (V) = 3.14 x 60^2 x 18  which is  203472 cubic centimeters

volume of each rectangular pail = 30 x 22 x 24 which is 15840 cubic centimeters

If the volume of 1 rectangular pail is 15840 cubic centimeters then the number of pails to fill 203472 cubic centimeters will be

203472/15840 = 12.84 approximately 13 pails

In conclusion 13 pails is needed to fill the pool to the depth of 18cm

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The required statment that is true is AC = 12 and BC = 10. Option A is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
A, B and C are Collinear and B lies between A & C.
AC = AB + BC
2x + 4 = 2 + x + 6
2x + 4 = x + 8
x = 4

Now,
AC = 8 + 4 = 12
BC = 4 + 6 = 10

Thus, the required statment that is true is AC = 12 and BC = 10. Option A is correct.

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Answer:

160

Step-by-step explanation:

163

if the number was 5 and over, it'd be 170. But since the number is less than 5, the answer is 160.